101002322021220 has 144 divisors (see below), whose sum is σ = 315384145509888. Its totient is φ = 26145204330240.

The previous prime is 101002322021177. The next prime is 101002322021221. The reversal of 101002322021220 is 22120223200101.

101002322021220 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 232 + 202 + 1 + 220 = 666.

It is a super-2 number, since 2×101002322021220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101002322021193 and 101002322021202.

It is not an unprimeable number, because it can be changed into a prime (101002322021221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14722944 + ... + 20463863.

It is an arithmetic number, because the mean of its divisors is an integer number (2190167677152).

Almost surely, 2^{101002322021220} is an apocalyptic number.

101002322021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002322021220 is an abundant number, since it is smaller than the sum of its proper divisors (214381823488668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101002322021220 is a wasteful number, since it uses less digits than its factorization.

101002322021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35187290 (or 35187285 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101002322021220 its reverse (22120223200101), we get a palindrome (123122545221321).

The spelling of 101002322021220 in words is "one hundred one trillion, two billion, three hundred twenty-two million, twenty-one thousand, two hundred twenty".